We consider sub-Riemannian spaces admitting an isometry group that is maximal in the sense any linear of horizontal tangent realized by a global isometry. will show these have canonical partial connection defined on their bundle. However, unlike Riemannian case, such are not uniquely determined curvature and metric cone. Furthermore, number invariants needed to determine model with same cone ge...

A formula to calculate the quantum fluctuations of energy in small subsystems a hot and relativistic gas is derived. We find an increase for sizes, but we agrees with canonical ensemble if size large enough. Not only one can use our expression limit concepts density or fluid element connection heavy-ion collisions, also other areas physics where studies matter high temperature velocity.

prerequisite for embrace of islam is acceptance of faith principles such as monotheism, prophecy, existence in the hereafter and in the shiite religion background, faith to two other principles, justice and pontificate. therefore, knowledge and certainty are criterion and imitative acceptance of these principles is not correct. for believer human, islam has determined practical programs that na...

The Inoue surfaces are certain non-Kaehler complex that have the structure of a $T^3$ bundle over circle. We study $S_M$ with Tricerri metric and canonical spin$^c$ structure, corresponding chiral Dirac operators twisted by flat $\mathbb C^*$--connection. twisting connection is determined $z \in \mathbb C^*$, points for which $\mathcal D^{\pm}_z$ not invertible called spectral points. show ther...

Precise regulation of signal transduction pathways is crucial for normal animal development and for maintaining cellular and tissue homeostasis in adults. The Wnt/Frizzled-mediated signaling includes canonical and non-canonical signal transduction pathways. Upregulation or downregulation of the canonical Wnt-signaling (or the Wnt/β-Catenin signal transduction) leads to a variety of human diseas...

i.p.s. hypergroups are canonical hypergroups such that$[forall(a,x),a+xni x]Longrightarrow[a+x=x].$i.p.s. hypergroups were investigated in [1], [2], [3], [4] and it was proved thatif the order is less than 9, they are strongly canonical (see [13]). In this paperwe obtain the sequences of fuzzy sets and of join spaces determined (see [8])by all i.p.s. hypergroups of order seven. For the meaning ...

Let A be a square complex matrix. Let P be one of the following properties: (a) A is an EP matrix, (b) the column space of A is complementary to the column space of A Ã , and (c) the orthogonal complement of the column space of A is the column space of A Ã. We study the canonical angles between the column space of A and the column space of A Ã when A satisfies property P. Also, we research the ...

There are several possibilities of formulating the classical Hamiltonian theory of pure Einstein gravity. The traditional one, proposed by Arnowitt-DeserMisner, is in terms of a canonical pair (gab, π ) of a Riemannian three-metric and its conjugate momentum. Introducing local, rotational SO(3)-degrees of freedom, one obtains a closely related formulation, based on a variable pair (E i ,K i a),...

CONTENTS Introduction. 79 1. Fundamental equations for a surface referred to its asymptotic curves. 85 2. Reciprocal congruences and the relation R. 86 3. The developables of the congruences T and r". 88 4. The focal points of the lines I and I'. 90 5. The directrix congruences. 91 6. Some general properties of reciprocal congruences. 93 7. The osculating quadric, and its connection-with recipr...

In addition to their canonical roles in translation the aminoacyl-tRNA synthetases (ARSs) have developed secondary functions over the course of evolution. Many of these activities are associated with cellular survival and nutritional stress responses essential for homeostatic processes in higher eukaryotes. In particular, six ARSs and one associated factor have documented functions in angiogene...